预紧式八翼梁次镜支撑结构的动力学分析

赵宏超; 张景旭; 杨飞; 赵勇志; 陈宝刚

doi:10.3788/OPE.20132105.1199

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预紧式八翼梁次镜支撑结构的动力学分析

微纳技术与精密机械 | 更新时间：2020-08-12

- 预紧式八翼梁次镜支撑结构的动力学分析
- Preloading eight-vane spider for supporting structure of secondary mirror
- 光学精密工程 2013年21卷第5期页码：1199-1204
- 作者机构：
  
  中国科学院长春光学精密机械与物理研究所,吉林长春,中国,130033
- 作者简介：
- 基金信息：
- DOI：10.3788/OPE.20132105.1199
  中图分类号： TH751
- 收稿日期：2012-03-28，
  
  修回日期：2012-06-01，
  
  网络出版日期：2013-05-24，
  
  纸质出版日期：2013-05-15
- 稿件说明：
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赵宏超张景旭杨飞赵勇志陈宝刚. 预紧式八翼梁次镜支撑结构的动力学分析[J]. 光学精密工程, 2013,21(5): 1199-1204

ZHAO Hong-Chao ZHANG Jing-xu YANG Fei ZHAO Yong-Zhi CHEN Bao-gang. Preloading eight-vane spider for supporting structure of secondary mirror[J]. Editorial Office of Optics and Precision Engineering, 2013,21(5): 1199-1204
赵宏超张景旭杨飞赵勇志陈宝刚. 预紧式八翼梁次镜支撑结构的动力学分析[J]. 光学精密工程, 2013,21(5): 1199-1204 DOI： 10.3788/OPE.20132105.1199.

ZHAO Hong-Chao ZHANG Jing-xu YANG Fei ZHAO Yong-Zhi CHEN Bao-gang. Preloading eight-vane spider for supporting structure of secondary mirror[J]. Editorial Office of Optics and Precision Engineering, 2013,21(5): 1199-1204 DOI： 10.3788/OPE.20132105.1199.

摘要

为了增加大口径望远镜次镜支撑结构的抗扭转刚度，降低次镜支撑结构对主镜的遮拦，提出了采用预紧力八翼梁结构来取代原有的四翼梁结构。根据Euler-Bernoulli梁理论将次镜支撑结构简化为一个由质量点和简支梁组成的简化模型，并进一步将该模型简化为两个更为简单的动力学模型的组合。通过选取恰当的振型函数，使用Rayleigh和Dunkerley方法推导了简化模型的第一阶模态频率数值解，得到的计算结果与有限元仿真结果吻合得很好。针对预紧力的作用，理论推导了预紧力对这种结构第一阶模态值的影响，并使用有限元法对这种结构进行了模拟，两者得到的结果趋势相同，大小一致，从而证明该简化方法可以用于类似结构的动力学特性计算。仿真结果显示，当预紧力施加到20 kN时，结构的第一阶模态值由11.6 Hz上升到23 Hz，大大提高了结构的抗扭转刚度，并有效减轻了次镜支撑结构的重量和遮拦比。该结论对于大口径望远镜次镜支撑的设计具有参考价值。

Abstract

To increase the anti-torsion stiffness of secondary mirror support structure of a telescope and to reduces the obscuration from the support structure

an imposed preload of 8-vane spider was designed to replace the original 4-vane spider. According to the Euler-Bernoulli beam theory

the mirror support structure was simplified as a simple model consisting of a beam and a mass point

and then the simplified model was divided into two more simple kinetic models. By selecting the appropriate mode function

the numerical solution of the first order modal for the simplified model was deduced with Rayleigh and Dunkerley approaches. Obtained calculated results are in good agreement with that from Fnite Element Analysis (FEA). Moreover

in order to solve the impact of the preload on this structure

a coefficient was deduced in theory. Then

the model was simulated by FEM and the result obtained in FEM is the same as that calculatedone one in theory. The analysis results prove that the method is available for the calculation of the similar structural dynamics characteristics. The simulations show that the first order modal of the structure can change from 11.6 Hz to 23 Hz when the preload increases up to 20 kN

which proves that the preload can effectively impact on the anti-torsion stiffness and reduce the secondary mirror support weight and obscuration ratio. The results can give a reference for designing secondary mirror support structures.

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references

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